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Finding the Fourth Proportional to 496.78, 746.52 and 265.84

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Solution

The fourth proportional to 496.78, 746.52 and 265.84 is: 399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.78 : 746.52 = 265.84 : x
  2. Step 2: Convert to fraction form
    496.78/746.52 = 265.84/x
  3. Step 3: Cross multiply
    496.78x = 746.52 × 265.84
  4. Step 4: Simplify right side
    496.78x = 198,454.88
  5. Step 5: Solve for x
    x = 198,454.88/496.78
  6. Step 6: Final answer
    x = 399.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.